& $\widetilde{\textrm{GPA\_luck}}$ \\ \midrule
$\widebar{\textrm{GPA\_luck}}$&     -0.0045   \\
                    &    (0.0083)   \\
$\widebar{\textrm{GPA\_luck}}$, squared&      0.0002   \\
                    &    (0.0003)   \\
High school course grades&     -0.0084   \\
                    &    (0.0070)   \\
High school course grades, squared&     -0.0073** \\
                    &    (0.0034)   \\
Middle school GPA   &     -0.0010   \\
                    &    (0.0059)   \\
Middle school GPA, squared&      0.0010   \\
                    &    (0.0021)   \\
Female              &     -0.0100   \\
                    &    (0.0073)   \\
Age                 &     -0.0023   \\
                    &    (0.0238)   \\
Age, squared        &      0.0000   \\
                    &    (0.0004)   \\
Parents' average age&     -0.0052   \\
                    &    (0.0097)   \\
Parents' average age, squared&      0.0001   \\
                    &    (0.0001)   \\
Parents' average years of education&      0.0047   \\
                    &    (0.0124)   \\
Parents' average years of education, squared&     -0.0002   \\
                    &    (0.0004)   \\
Parents' average log earnings&      0.0007   \\
                    &    (0.0028)   \\
\midrule
F-statistic         &       0.790   \\
Joint p-value       &       0.721   \\
Mean                &       0.013   \\
N                   &       89638   \\
